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Help with delta-epsilon notation

  1. Oct 31, 2007 #1
    1. The problem statement, all variables and given/known data
    For a given epsilon e > 0, I need to find a delta d such that for all x, abs(x) < d:

    abs([(x^2 - x + 1)/(x+1)] - 1) < e

    2. Relevant equations

    3. The attempt at a solution
    I get the absolute value of:
    x^2 - 2x
    --------, which is less than or equal to the absolute value of
    x + 1

    x^2 - 2x
    --------, which equals the absolute value

    x-2, which is less than or equal to

    abs(x) + 2.

    How do I then find the delta for this and is this right?
  2. jcsd
  3. Oct 31, 2007 #2
    I don't think your equation is correct. Once it's corrected, pretend the singularity doesn't exist, and the same delta should work.
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